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- | ====== Partial Differential Equations by M Usman Hamid ====== | ||
- | The course provides a foundation to solve PDE’s with special emphasis on wave, heat and Laplace equations, formulation and some theory of these equations are also intended. | ||
- | We are really very thankful to Prof. Muhammad Usman Hamid for providing these notes and appreciates his effort to publish these notes on MathCity.org | ||
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- | ^ Name |Partial Differential Equations (PDE’s) | ||
- | ^ Author | ||
- | ^ Pages |113 pages | | ||
- | ^ Format | ||
- | ^ Size |2.22 MB | | ||
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- | ====Contents & Summary==== | ||
- | * INTRODUCTION | ||
- | * Basic Concepts and Definitions, | ||
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- | * FIRST-ORDER QUASI-LINEAR EQUATIONS AND METHOD OF CHARACTERISTICS | ||
- | * Classification of first-order equations, Construction of a First-Order Equation, Method of Characteristics and General Solutions, Canonical Forms of First-Order Linear Equations, Method of Separation of Variables, Exercises | ||
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- | * MATHEMATICAL MODELS | ||
- | * Heat Equations and consequences, | ||
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- | * CLASSIFICATION OF SECOND-ORDER LINEAR EQUATIONS | ||
- | * Second-Order Equations in Two Independent Variables, Canonical Forms, Equations with Constant Coefficients, | ||
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- | * FOURIER SERIES, FOURIER TRANSFORMATION AND INTEGRALS WITH APPLICATIONS | ||
- | * Introduction, | ||
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- | * LAPLACE TRANSFORMS | ||
- | * Properties of Laplace Transforms, Convolution Theorem of the Laplace Transform, Laplace Transforms of the Heaviside and Dirac Delta Functions, Hankel Transforms, Properties of Hankel Transforms and Applications, | ||
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- | {{include> | ||
- | ==== Download or View online ==== | ||
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- | * **{{ : | ||
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- | ====Notes of other subjects==== | ||
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